LEADER 02710nam 2200613 450 001 9910788898403321 005 20180613001252.0 010 $a1-4704-0682-9 035 $a(CKB)3360000000464456 035 $a(EBL)3113629 035 $a(SSID)ssj0000973580 035 $a(PQKBManifestationID)11504634 035 $a(PQKBTitleCode)TC0000973580 035 $a(PQKBWorkID)10984568 035 $a(PQKB)10932964 035 $a(MiAaPQ)EBC3113629 035 $a(RPAM)916744 035 $a(PPN)195411544 035 $a(EXLCZ)993360000000464456 100 $a19821008h19831983 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeneric bifurcations for involutory area preserving maps /$fRussell J. Rimmer 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1983] 210 4$d©1983 215 $a1 online resource (174 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vvolume 41, number 272 (January 1983) 300 $aDescription based upon print version of record. 311 $a0-8218-2272-1 320 $aIncludes bibliographical references. 327 $a""TABLE OF CONTENTS""; ""CHAPTER 1. INTRODUCTION""; ""CHAPTER 2. PRELIMINARIES""; ""2.1 Terminology and Some Useful Results""; ""2.1.1 Basic Ideas""; ""2.1.2 The Weak and the Strong Topologies""; ""2.1.3 Transversality""; ""2.2 A Curve of Fixed Points""; ""CHAPTER 3. BIFURCATION FROM A SYMMETRIC FIXED POINT WITH MULTIPLIERS A?± 1""; ""3.1 A Generating Function for a Family of Area Preserving Maps""; ""3.2 The Involutory Property and the Generating Functions""; ""3.3 Fixed Points Near a Symmetric Fixed Point with Multipliers 1"" 327 $a""8.1 Symmetric Hamiltonian Systems""""8.2 Existence of Families of Involutory Area Preserving Maps""; ""APPENDIX 1 PROOFS OF TWO RESULTS USED IN CHAPTER 4""; ""A1.1Proof of Proposition 4.2.2(ii)""; ""A1.2 Proof of Lemma 4.2.4""; ""REFERENCES"" 410 0$aMemoirs of the American Mathematical Society ;$vnumber 272. 606 $aDifferentiable dynamical systems 606 $aMappings (Mathematics) 606 $aBifurcation theory 606 $aHamiltonian systems 615 0$aDifferentiable dynamical systems. 615 0$aMappings (Mathematics) 615 0$aBifurcation theory. 615 0$aHamiltonian systems. 676 $a510 s 676 $a514/.74 700 $aRimmer$b Russell J.$f1948-$01545088 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788898403321 996 $aGeneric bifurcations for involutory area preserving maps$93799774 997 $aUNINA